101203971264 has 336 divisors, whose sum is σ = 329712888960. Its totient is φ = 30524221440.

The previous prime is 101203971259. The next prime is 101203971287. The reversal of 101203971264 is 462179302101.

101203971264 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 397 + 1 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39858507 + ... + 39861045.

It is an arithmetic number, because the mean of its divisors is an integer number (981288360).

Almost surely, 2^101203971264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164856444480).

101203971264 is an abundant number, since it is smaller than the sum of its proper divisors (228508917696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101203971264 is a wasteful number, since it uses less digits than its factorization.

101203971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 101203971264 in words is "one hundred one billion, two hundred three million, nine hundred seventy-one thousand, two hundred sixty-four".